153829 has 4 divisors (see below), whose sum is σ = 165676. Its totient is φ = 141984.

The previous prime is 153817. The next prime is 153841. The reversal of 153829 is 928351.

153829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

153829 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (153817) and next prime (153841).

It can be written as a sum of positive squares in 2 ways, for example, as 88804 + 65025 = 298^2 + 255^2 .

It is a cyclic number.

It is not a de Polignac number, because 153829 - 2⁷ = 153701 is a prime.

It is a super-3 number, since 3×153829³ = 10920333589025367, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

153829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 153797 and 153806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5904 + ... + 5929.

It is an arithmetic number, because the mean of its divisors is an integer number (41419).

2¹⁵³⁸²⁹ is an apocalyptic number.

It is an amenable number.

153829 is a deficient number, since it is larger than the sum of its proper divisors (11847).

153829 is a wasteful number, since it uses less digits than its factorization.

153829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11846.

The product of its digits is 2160, while the sum is 28.

The square root of 153829 is about 392.2104027177. The cubic root of 153829 is about 53.5812373997.

It can be divided in two parts, 15 and 3829, that added together give a square (3844 = 62²).

The spelling of 153829 in words is "one hundred fifty-three thousand, eight hundred twenty-nine".